Abstract
In this work, we obtain a simple measure factor for the λ and θ zero-mode integrations in the pure-spinor formalism in the context of an \( \mathcal{N}=4 \), d = 4 theory. We show that the measure can be defined unambiguously up to BRST-trivial terms and an overall factor, and is much simpler than (although equivalent to) the expression obtained by dimensional reduction from the \( \mathcal{N}=1 \), d = 10 measure factor. We also give two explicit examples of how to obtain the dual to a vertex operator using this measure.
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N. Berkovits, Super Poincaré covariant quantization of the superstring, JHEP 04 (2000) 018 [hep-th/0001035] [INSPIRE].
N. Berkovits and T. Fleury, Harmonic superspace from the AdS 5 × S 5 pure spinor formalism, JHEP 03 (2013) 022 [arXiv:1212.3296] [INSPIRE].
J. Wess and J. Bagger, Supersymmetry and supergravity, Princeton University Press, Princeton U.S.A. (1992).
M. Green, J. Schwarz and E. Witten, Superstring theory: volume 2, loop amplitudes, anomalies and phenomenology, Cambridge University Press, Cambridge U.K. (1987).
J.P. Harnad and S. Shnider, Constraints and field equations for ten-dimensional super Yang-Mills theory, Commun. Math. Phys. 106 (1986) 183 [INSPIRE].
T. Azevedo, On the \( \mathcal{N}=4 \) , D = 4 pure spinor measure factor, arXiv:1412.5927 [INSPIRE].
S. Stieberger, Open & closed vs. pure open string disk amplitudes, arXiv:0907.2211 [INSPIRE].
C.R. Mafra, O. Schlotterer and S. Stieberger, Complete N-point superstring disk amplitude I. Pure spinor computation, Nucl. Phys. B 873 (2013) 419 [arXiv:1106.2645] [INSPIRE].
C.R. Mafra and O. Schlotterer, Towards one-loop SYM amplitudes from the pure spinor BRST cohomology, Fortsch. Phys. 63 (2015) 105 [arXiv:1410.0668] [INSPIRE].
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ArXiv ePrint: 1412.5927
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Azevedo, T. On the \( \mathcal{N}=4 \), d = 4 pure spinor measure factor. J. High Energ. Phys. 2015, 136 (2015). https://doi.org/10.1007/JHEP03(2015)136
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DOI: https://doi.org/10.1007/JHEP03(2015)136